| PF环与群环的Grothendieck群 |
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| 引用本文： | 佟文廷. PF环与群环的Grothendieck群[J]. 数学研究及应用, 1990, 10(2): 157-162 |
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| 作者姓名： | 佟文廷 |
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| 作者单位： | 南京大学数学系 |
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| 基金项目： | 国家自然科学基金资助项目. |
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| 摘 要： | Let R be a commutative ring with 1, G an Abelian group, RG the group ring on R and G. In this paper we gave some properties of PF- rings in which f. g. projective modules are free. The Grothendieck groups K0(RG) for some cases are given. In addition, for the ring R with the unimodular column property, we proved the following result: K0(RG) ≈K0(R), hence if R ∈PF, then K0(RG)≈Z .
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| 关 键 词： | PF环 群环 可换酉环 酉模 |
| 收稿时间： | 1988-08-02 |
PF -rings and the Grethendieck groups of groups rings |
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| Tong Wenting. PF -rings and the Grethendieck groups of groups rings[J]. Journal of Mathematical Research with Applications, 1990, 10(2): 157-162 |
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| Authors: | Tong Wenting |
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| Affiliation: | Nanjing University |
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